Question
The current ratio of the ages of 'Armaan' and 'Bittu' is
such that six years from now, it will be 5:4, respectively. Presently, 'Chetna's age exceeds 'Bittu's by 18 years. If the ratio of the ages of 'Armaan' and 'Chetna' was 4:7 eight years ago, determine the sum of the current ages of 'Bittu' and 'Chetna'.Solution
ATQ, Let the ages of ‘Armaan’ and ‘Bittu’, 6 years hence be 5p years and 4p years respectively Therefore, present age of ‘Armaan’ = (5p – 6) years Present age of ‘Bittu’ = (4p – 6) years Present age of ‘Chetna’ = (4p – 6 + 18) = (4p + 12) years According to the question, (5p – 6 – 8)/(4p + 12 – 8) = 4/7 Or, p = 114/19 = 6 years Required sum = (4p – 6 + 4p + 12) = 54 years
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